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Finding the Third Proportional to 7,665.25 and 16,851.25

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Solution

The third proportional to 7,665.25 and 16,851.25 is: 37,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.25 : 16,851.25 = 16,851.25 : x
  2. Step 2: Convert to fraction form
    7,665.25/16,851.25 = 16,851.25/x
  3. Step 3: Cross multiply
    7,665.25x = 16,851.25 × 16,851.25
  4. Step 4: Simplify right side
    7,665.25x = 283,964,626.56
  5. Step 5: Solve for x
    x = 283,964,626.56/7,665.25
  6. Step 6: Final answer
    x = 37,045.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.